A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time/4347395/f56da09a? utm_source=registration

The current grading rate is

(30 minute) / (5 papers) = 6 minutes/paper.

She has 3 hours (or 180 minutes) to grade 35 papers.

She now has 180 - 30 = 150 minutes left, and she has 35 - 5 = 30 papers left.

The remaining grading rate is

(150 minutes) / (30 papers) = 5 minutes/paper

Therefore she must work at 1 minute/paper faster to complete grading 35 papers in 3 hours.

Answer: She should work faster at an increased rate of 1 minute per paper.